Equivalence and existence of weak Pareto optima for multiobjective optimization problems with cone constraints. (English) Zbl 1191.90057

Summary: A differentiable multiobjective optimization problem with generalized cone constraints is considered, and the equivalence of weak Pareto solutions for the problem and for its \(\eta \)-approximated problem is established under suitable conditions. Two existence theorems for weak Pareto solutions for this kind of multiobjective optimization problem are proved by using a Karush-Kuhn-Tucker type optimality condition and the F-KKM theorem.


90C29 Multi-objective and goal programming
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